Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 909, 135, 406, 855 i.e. 1 largest integer that divides all the numbers equally.
GCD of 909, 135, 406, 855 is 1
GCD(909, 135, 406, 855) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 909, 135, 406, 855 is 1
GCD(909, 135, 406, 855) = 1
Given Input numbers are 909, 135, 406, 855
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Greatest Common Divisior
We found the divisors of 909, 135, 406, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 135, 406, 855 is 1.
Therefore, GCD of numbers 909, 135, 406, 855 is 1
Given Input Data is 909, 135, 406, 855
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 406 is 2 x 7 x 29
Prime Factorization of 855 is 3 x 3 x 5 x 19
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(909, 135) = 13635
GCD(909, 135) = ( 909 x 135 ) / 13635
GCD(909, 135) = 122715 / 13635
GCD(909, 135) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 406
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 406) = 3654
GCD(9, 406) = ( 9 x 406 ) / 3654
GCD(9, 406) = 3654 / 3654
GCD(9, 406) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 855
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 855) = 855
GCD(1, 855) = ( 1 x 855 ) / 855
GCD(1, 855) = 855 / 855
GCD(1, 855) = 1
GCD of 909, 135, 406, 855 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 909, 135, 406, 855?
GCD of 909, 135, 406, 855 is 1
2. Where do I get the detailed procedure to find GCD of 909, 135, 406, 855?
You can find a detailed procedure to find GCD of 909, 135, 406, 855 on our page.
3. How to find GCD of 909, 135, 406, 855 on a calculator?
You can find the GCD of 909, 135, 406, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.